How much degrees is each interior angle in an equilateral triangle
60°
If a circle has radius 1cm what is the area of the circle
2π
What is the product of two lines that are perpendicular to each other?(and neither are parallel to the axes)
-1
What are the factors of x2 + 5x +6
(x+3)(x+2)
If x is a prime number between 6 and 10 what is x3
what is the trigonometric function that gives the ratio of the opposite side to the adjacent side of an angle within a right angle
tan(x)
What is the longest chord in the circle named
the diameter
y = 2x + 6 and y = 3x + 5 meet at one point.
What are the coordinates of this point
1
f (x) = (x − 10)(x + 13) The function f is defined by
the given equation. For what value of x does f reach its minimum?
A. -130
B.-13
C. −23/2
D. −3/2
D
what is a linear factor of x + x2 + x3+x4+x5+...xn
x
A linear function which passes through the origin has a gradient of 1. What is the measure of the acute angle formed between the line and the x axis.
45
if a line passes through a circle - with radius 5 - at (5,7) and (11,15). What is the gradient of a line perpendicular to the line passing through the diameter
-3/4

For the linear function f, the table shows three values of x and their corresponding values of f (x). Which equation defines f (x) ?
A. f (x) = 3x + 29
B. f (x) = 29x + 32
C. f (x) = 35x + 29
D. f (x) = 32x + 35
A
x2+12x+23=0
Which of these options satisfies the equation above
A. -12 + √11
B. 12 + √11
C. -6 + √13
D. 6 + √13
C
If 3x - y = 12 what is the value of
(in the form 2a, a is a constant)
212
If the base of a triangle is x-2,the height is x+2, and the area is 16cm2 what is the smallest possible value of x
6
A circle has center O, and points R and S lie on the circle. In triangle ORS, the measure of ∠ROS is 88°. What is the measure of ∠RSO, in degrees?
46°
Given that 8f(x)= 8(4(x))
what is the coordinate of the x intercept
-3/2
Derive the equation of a quadratic in the form a(x-h) +k if two form of this quadratic is (x-7)(x+5)
(x-1)2-36
A circle has a diameter (d1) which touches the circle at (-9,-5) and (-1,1). What is the equation of the diameter, (d2, represented as an equation of a line) that is perpendicular to the diameter d1
y = (-4x-26)/3
In triangle JKL, cos(K) = 8/17 and angle J is a right angle. What is the value of cos(L) ?
15/17
What is the radius of the circle with equation
x2+2x + y2 + 6y = 15
5
Given that line a is perpendicular to a line with equation y=-3x + 17 and intersects it at (6,-1) what is the equation of this line
a line y = (a+b)x +12
is perpendicular to a line
y = (a-b)x +7 which passes through (6,10)
what is the value of y in the equation
y = (4a+8b)x + 17
when x is 5
-48
The function f is defined by
The graph passes through the point (-10,a) and (a,b). a and b are constants. What is the value of b.
11
A bat and a ball cost $1.1, if the bat cost $1 more than the ball. How much does the ball cost?
0.05